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109228962960 = 243251311669761
BaseRepresentation
bin110010110111010001…
…1011011010010010000
3101102221100120020101200
41211232203123102100
53242200103303320
6122102403431200
710614536603025
oct1455643332220
9342840506350
10109228962960
11423619a1617
1219204685500
13a3b9847c80
145402a3754c
152c94592290
hex196e8db490

109228962960 has 120 divisors (see below), whose sum is σ = 395044783224. Its totient is φ = 26887127040.

The previous prime is 109228962949. The next prime is 109228963093. The reversal of 109228962960 is 69269822901.

It is a happy number.

109228962960 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 2 + 8 + 9 + 629 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7210047744 + 102018915216 = 84912^2 + 319404^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 109228962897 and 109228962906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5825521 + ... + 5844240.

Almost surely, 2109228962960 is an apocalyptic number.

109228962960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109228962960 is an abundant number, since it is smaller than the sum of its proper divisors (285815820264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109228962960 is a wasteful number, since it uses less digits than its factorization.

109228962960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669793 (or 11669784 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 109228962960 in words is "one hundred nine billion, two hundred twenty-eight million, nine hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 11669761 23339522 35009283 46679044 58348805 70018566 93358088 105027849 116697610 140037132 151706893 175046415 186716176 210055698 233395220 280074264 303413786 350092830 420111396 455120679 466790440 525139245 560148528 606827572 700185660 758534465 840222792 910241358 933580880 1050278490 1213655144 1365362037 1400371320 1517068930 1680445584 1820482716 2100556980 2275603395 2427310288 2730724074 2800742640 3034137860 3640965432 4201113960 4551206790 5461448148 6068275720 6826810185 7281930864 8402227920 9102413580 10922896296 12136551440 13653620370 18204827160 21845792592 27307240740 36409654320 54614481480 109228962960